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Finding the Fourth Proportional to 4,599.72, 6,899.04 and 1,677.24

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Solution

The fourth proportional to 4,599.72, 6,899.04 and 1,677.24 is: 2,515.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.72 : 6,899.04 = 1,677.24 : x
  2. Step 2: Convert to fraction form
    4,599.72/6,899.04 = 1,677.24/x
  3. Step 3: Cross multiply
    4,599.72x = 6,899.04 × 1,677.24
  4. Step 4: Simplify right side
    4,599.72x = 11,571,345.85
  5. Step 5: Solve for x
    x = 11,571,345.85/4,599.72
  6. Step 6: Final answer
    x = 2,515.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.